Final answer:
After adding the cost of the cake to the remaining money, Judah's total earnings were calculated to be $598. Dividing this by the 14 hours worked gives an hourly wage of $42.71, which is not an option provided in the question.
Step-by-step explanation:
The first step in solving this question is to determine Judah's total earnings before buying the cake. Since we know he spent $12 on a cake and was left with $586, we can calculate his total earnings by adding these two amounts together.
Total earnings = Cost of cake + Remaining money
Total earnings = $12 + $586
Total earnings = $598
Next, to find the hourly wage, we divide the total earnings by the number of hours worked. Judah worked a total of 14 hours last week.
Hourly wage = Total earnings / Hours worked
Hourly wage = $598 / 14 hours
Hourly wage = $42.71 per hour
Therefore, the correct answer is not listed in the options provided, as the calculation results in an hourly wage of $42.71.